Theorems · Definition · complex analysis
Complex.tanh
ℂ → ℂ
The complex hyperbolic tangent function, defined as sinh z / cosh z
- Defined in
- Mathlib.Analysis.Complex.Trigonometric
- Cited by
- 20 results in Mathlib
- Foundations
- Depth 143 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Complexstatement and proof · cited by 5,565
- Complex.coshproof · cited by 118
- Complex.sinhproof · cited by 113
Cited by21
Results whose statement or proof uses this declaration.
- Real.tanhproof · cited by 19
- Complex.tanh_eq_sinh_div_coshstatement · cited by 2
- Complex.tanh_periodicstatement · cited by 2
- Complex.ofReal_tanh_ofReal_restatement and proof · cited by 2
- Complex.tan_mul_Istatement and proof · cited by 1
- Complex.meromorphicAt_tanhstatement · cited by 1
- Complex.meromorphicNFOn_tanhstatement · cited by 1
- Complex.tanh_conjstatement and proof · cited by 1
- Complex.tanh_negstatement · cited by 1
- Complex.tanh_zerostatement · cited by 1
- Complex.ofReal_tanhstatement · cited by 1
- Complex.tan_add_mul_Istatement and proof · cited by 1